EXA2011

The recent determination of Lambda-nucleon spin-dependent interaction matrix elements in Lambda hypernuclei [1] from comprehensive measurements of gamma ray transitions [2] provides accurate estimates of Lambda-Lambda separation energies in double-Lambda hypernuclei across the nuclear p shell. Here we outline a shell-model approach [3] to evaluate the consistency of the world emulsion data on double-Lambda hypernuclei [4] in terms of the uniquely identified Lambda-Lambda-6He event [5]. The implications of this study on whether or not the H dibaryon [6] is stable against strong decays, with mass below twice the Lambda mass, will be discussed in the light of recent lattice gauge searches [7]. References -------------- [1] D.J. Millener, Nucl. Phys. A 835 (2010) 11; see also D.J. Millener, arXiv:1011.0367 [nucl-th], and references therein. [2] H. Tamura, et al., Nucl. Phys. A 835 (2010) 3. [3] A. Gal, D.J. Millener, to be published in Phys. Lett. B (arXiv:1104.3429). [4] S. Aoki et al. [KEK-E176], Nucl. Phys. A 828 (2009) 191; K. Nakazawa [KEK-E373], Nucl. Phys. A 835 (2010) 207; K. Nakazawa, H. Takahashi, Prog. Theor. Phys. Suppl. 185 (2010) 335, and references therein. [5] H. Takahashi, et al., Phys. Rev. Lett. 87 (2001) 212502. [6] R.L. Jaffe, Phys. Rev. Lett. 38 (1977) 195, 617 (E). [7] S.R. Beane, et al. [NPLQCD], Phys. Rev. Lett. 106 (2011) 162001; T. Inoue, et al. [HALQCD], Phys. Rev. Lett. 106 (2011) 162002.